Geometry

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Q1.


Hint 1.
The area of the large right triangle equals the sum of areas of the three smaller right triangles.
$\ A_{ \Delta ABC} = A_{\Delta Pink} + A_{\Delta Purple} + A_{\Delta Turquoise}}$

You can put x in terms of y using the Pythagorean Theorem with the Turquoise triangle. However, this will result in a messy equation. A better way is by noticing that the Turquoise triangle is similar to the large triangle ABC... Good luck!

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Q2.